A4-graph for the twisted group 3D4 (3)

Hamid, Salwa Mohammed; Aubad, Ali Abd

doi:10.47974/JDMSC-1562

Open Access Research Article

A4-graph for the twisted group 3D4 (3)

^*Salwa Mohammed HamidCorresponding authorsalwa.mohammed1203a@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile → , Ali Abd Aubad†ali.abd@sc.uobaghdad.edu.iqDepartment of MathematicsCollege of ScienceUniversity of BaghdadBaghdad, IraqView full profile →

* Corresponding author · click or hover a name for details

pp. 1163–1168Vol. 26Issue 4June 2023DOI: 10.47974/JDMSC-1562 Crossmark XML

Received:: 02 Feb 2022
Accepted:: 02 Mar 2022
Published Online:: 15 Jul 2023
Article type:: Research Article
Language:: EN
Article no.:: JDMSC-1562
Pages:: 1163–1168

Abstract

Assume that G is a finite group and X = tG where t is non-identity element with t3 = 1. The simple graph with node set being X such that a, b ∈ X, are adjacent if ab-1 is an involution element, is called the A4-graph, and designated by A4(G, X). In this article, the construction of A4(G, X) is analyzed for G is the twisted group of Lie type 3D4(3).

Keywords

Twisted groups A4-graph Group action Connectivity

Subject Classifications

20D0568R0105C4005C69

References

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